This is:

Hoodie Hoo Day

According to Holiday Insights : Hoodie-Hoo Day, on this winter day, people go out at noon, wave their hands over their heads and chant "Hoodie-Hoo".

It is a day to chase away winter and bring in spring. After all, everyone in the northern hemisphere are sick and tired of winter at this point and a little crazy being cooped up inside all winter and not seeing the sun.

I have no idea what one could do with this at a square dance, but it might get a laugh. Or do "spring" type songs (there's a Shakedown hoedown called "Spring Break"). Or say "Scoot Back...say hoodie hoo".